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Loading file "m009__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m009 geometric_solution 2.66674478 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 3 1 2 1 2 0132 0132 2310 1023 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 0 0 2 2 0132 3201 1023 2310 0 0 0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375000000000 0.330718913883 1 0 1 0 3201 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0102_1'], 'c_1020_0' : d['c_0102_1'], 'c_1020_1' : d['c_0201_1'], 'c_0201_0' : d['c_0102_2'], 'c_0201_1' : d['c_0201_1'], 'c_0201_2' : d['c_0102_0'], 'c_2100_0' : d['c_0012_0'], 'c_2100_1' : d['c_0012_0'], 'c_2100_2' : d['c_0012_1'], 'c_2010_2' : d['c_0201_1'], 'c_2010_0' : d['c_0201_1'], 'c_2010_1' : d['c_0102_1'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0102_1'], 'c_0102_2' : d['c_0102_2'], 'c_1101_0' : d['c_1011_1'], 'c_1101_1' : d['c_1101_1'], 'c_1101_2' : negation(d['c_1101_1']), 'c_1200_2' : d['c_0012_0'], 'c_1200_0' : d['c_0012_1'], 'c_1200_1' : d['c_0012_1'], 'c_1110_2' : negation(d['c_1110_0']), 'c_1110_0' : d['c_1110_0'], 'c_1110_1' : d['c_0111_2'], 'c_0120_0' : d['c_0102_1'], 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0102_1'], 'c_2001_0' : d['c_0201_1'], 'c_2001_1' : d['c_0102_0'], 'c_2001_2' : d['c_0201_1'], 'c_0012_2' : d['c_0012_1'], 'c_0012_0' : d['c_0012_0'], 'c_0012_1' : d['c_0012_1'], 'c_0111_0' : d['c_0111_0'], 'c_0111_1' : negation(d['c_0111_0']), 'c_0111_2' : d['c_0111_2'], 'c_0210_2' : d['c_0201_1'], 'c_0210_0' : d['c_0201_1'], 'c_0210_1' : d['c_0102_2'], 'c_1002_2' : d['c_0102_1'], 'c_1002_0' : d['c_0102_1'], 'c_1002_1' : d['c_0102_2'], 'c_1011_2' : negation(d['c_1011_0']), 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_1011_1'], 'c_0021_0' : d['c_0012_1'], 'c_0021_1' : d['c_0012_0'], 'c_0021_2' : d['c_0012_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 0.120 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0201_1, c_1011_0, c_1011_1, c_1101_1, c_1110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 5/2*c_1110_0 + 1/2, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 + c_1110_0 - 3/2, c_0102_1 - c_1110_0 + 1/2, c_0102_2 + c_1110_0 - 3/2, c_0111_0 - 1, c_0111_2 + 1, c_0201_1 - c_1110_0 + 1/2, c_1011_0 - c_1110_0, c_1011_1 - 1, c_1101_1 - 1, c_1110_0^2 - 1/2*c_1110_0 + 1/2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0201_1, c_1011_0, c_1011_1, c_1101_1, c_1110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3575/8*c_1110_0^3 - 2715/4*c_1110_0^2 + 1075/2*c_1110_0 - 1407/8, c_0012_0 - 1, c_0012_1 - 5/2*c_1110_0^3 - 5/2*c_1110_0^2 + 5*c_1110_0 - 1, c_0102_0 + 10*c_1110_0^3 + 15*c_1110_0^2 - 25/2*c_1110_0 + 5/2, c_0102_1 + 5/4*c_1110_0^3 + 5/2*c_1110_0^2 - 1/4, c_0102_2 - 15/4*c_1110_0^3 - 5*c_1110_0^2 + 15/2*c_1110_0 - 5/4, c_0111_0 - 1, c_0111_2 - 15/4*c_1110_0^3 - 5*c_1110_0^2 + 15/2*c_1110_0 - 9/4, c_0201_1 + 5/4*c_1110_0^3 + 5/2*c_1110_0^2 - 1/4, c_1011_0 - c_1110_0, c_1011_1 + 15/4*c_1110_0^3 + 5*c_1110_0^2 - 15/2*c_1110_0 + 9/4, c_1101_1 - 1, c_1110_0^4 + c_1110_0^3 - 2*c_1110_0^2 + c_1110_0 - 1/5 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0201_1, c_1011_0, c_1011_1, c_1101_1, c_1110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 497181/5311136*c_1110_0^7 - 3783815/10622272*c_1110_0^6 + 54385773/21244544*c_1110_0^5 - 133345557/21244544*c_1110_0^4 + 56884003/10622272*c_1110_0^3 + 91153479/21244544*c_1110_0^2 - 479637/663892*c_1110_0 - 13625701/1327784, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 - 180189/663892*c_1110_0^7 + 1435545/1327784*c_1110_0^6 - 4637043/2655568*c_1110_0^5 - 16101/2655568*c_1110_0^4 + 4506403/1327784*c_1110_0^3 + 1089383/2655568*c_1110_0^2 - 936420/165973*c_1110_0 - 34823/165973, c_0102_1 - 5519/165973*c_1110_0^7 + 147063/331946*c_1110_0^6 - 860965/663892*c_1110_0^5 + 1166383/663892*c_1110_0^4 + 76867/165973*c_1110_0^3 - 1684159/663892*c_1110_0^2 - 728825/331946*c_1110_0 + 592116/165973, c_0102_2 - 180189/663892*c_1110_0^7 + 1435545/1327784*c_1110_0^6 - 4637043/2655568*c_1110_0^5 - 16101/2655568*c_1110_0^4 + 4506403/1327784*c_1110_0^3 + 1089383/2655568*c_1110_0^2 - 936420/165973*c_1110_0 - 34823/165973, c_0111_0 - 1, c_0111_2 + 1, c_0201_1 - 317059/663892*c_1110_0^7 + 2062863/1327784*c_1110_0^6 - 5285077/2655568*c_1110_0^5 - 3862431/2655568*c_1110_0^4 + 6936095/1327784*c_1110_0^3 + 9878481/2655568*c_1110_0^2 - 4564375/663892*c_1110_0 - 749465/165973, c_1011_0 + 7129/165973*c_1110_0^7 - 38757/331946*c_1110_0^6 + 243015/663892*c_1110_0^5 - 325191/663892*c_1110_0^4 + 184519/331946*c_1110_0^3 + 134345/663892*c_1110_0^2 - 106578/165973*c_1110_0 - 381507/165973, c_1011_1 - 49119/663892*c_1110_0^7 + 393315/1327784*c_1110_0^6 - 847425/2655568*c_1110_0^5 - 870191/2655568*c_1110_0^4 + 1750909/1327784*c_1110_0^3 + 1174061/2655568*c_1110_0^2 - 725945/331946*c_1110_0 - 209833/165973, c_1101_1 - 49119/663892*c_1110_0^7 + 393315/1327784*c_1110_0^6 - 847425/2655568*c_1110_0^5 - 870191/2655568*c_1110_0^4 + 1750909/1327784*c_1110_0^3 + 1174061/2655568*c_1110_0^2 - 725945/331946*c_1110_0 - 209833/165973, c_1110_0^8 - 5/2*c_1110_0^7 + 7/4*c_1110_0^6 + 21/4*c_1110_0^5 - 13/2*c_1110_0^4 - 75/4*c_1110_0^3 + 5*c_1110_0^2 + 24*c_1110_0 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 0.120 Total time: 0.310 seconds, Total memory usage: 32.09MB